Mesh wont move with rig
You should:

Remove the 2 Armature modifiers from the mesh object
check and align the bones for the mouth of the metarig
Scale up a bit the armature (metarig) and object (like x 2)
Apply their rotation and scale
Select the object, switch to Edit mode, Merge by Distance in order to remove all overlapping vertices
(re)generate the rig from the metarig
Parent the mesh object to the generated rig With Automatic Weight